| |
| |
| Preface | |
| |
| |
| |
| Introduction | |
| |
| |
| |
| Preliminaries | |
| |
| |
| |
| Censored Data | |
| |
| |
| |
| Scope of the Book | |
| |
| |
| Bibliographical Remarks | |
| |
| |
| |
| Functions of Survival Time | |
| |
| |
| |
| Definitions | |
| |
| |
| |
| Relationships of the Survival Functions | |
| |
| |
| Bibliographical Remarks | |
| |
| |
| Exercises | |
| |
| |
| |
| Examples of Survival Data Analysis | |
| |
| |
| |
| Example 3.1: Comparison of Two Treatments and Three Diets | |
| |
| |
| |
| Example 3.2: Comparison of Two Survival Patterns Using Life Tables | |
| |
| |
| |
| Example 3.3: Fitting Survival Distributions to Remission Data | |
| |
| |
| |
| Example 3.4: Relative Mortality and Identification of Prognostic Factors | |
| |
| |
| |
| Example 3.5: Identification of Risk Factors | |
| |
| |
| Bibliographical Remarks | |
| |
| |
| Exercises | |
| |
| |
| |
| Nonparametric Methods of Estimating Survival Functions | |
| |
| |
| |
| Product-Limit Estimates of Survivorship Function | |
| |
| |
| |
| Life-Table Analysis | |
| |
| |
| |
| Relative, Five-Year, and Corrected Survival Rates | |
| |
| |
| |
| Standardized Rates and Ratios | |
| |
| |
| Bibliographical Remarks | |
| |
| |
| Exercises | |
| |
| |
| |
| Nonparametric Methods for Comparing Survival Distributions | |
| |
| |
| |
| Comparison of Two Survival Distributions | |
| |
| |
| |
| Mantel-Haenszel Test | |
| |
| |
| |
| Comparison of K (K [greater than sign] 2) Samples | |
| |
| |
| Bibliographical Remarks | |
| |
| |
| Exercises | |
| |
| |
| |
| Some Well-Known Parametric Survival Distributions and Their Applications | |
| |
| |
| |
| Exponential Distribution | |
| |
| |
| |
| Weibull Distribution | |
| |
| |
| |
| Lognormal Distribution | |
| |
| |
| |
| Gamma and Generalized Gamma Distributions | |
| |
| |
| |
| Log-Logistic Distribution | |
| |
| |
| |
| Other Survival Distributions | |
| |
| |
| Bibliographical Remarks | |
| |
| |
| Exercises | |
| |
| |
| |
| Estimation Procedures for Parametric Survival Distributions without Covariates | |
| |
| |
| |
| General Maximum Likelihood Estimation Procedure | |
| |
| |
| |
| Exponential Distribution | |
| |
| |
| |
| Weibull Distribution | |
| |
| |
| |
| Lognormal Distribution | |
| |
| |
| |
| Standard and Generalized Gamma Distributions | |
| |
| |
| |
| Log-Logistic Distribution | |
| |
| |
| |
| Other Parametric Survival Distributions | |
| |
| |
| Bibliographical Remarks | |
| |
| |
| Exercises | |
| |
| |
| |
| Graphical Methods for Survival Distribution Fitting | |
| |
| |
| |
| Introduction | |
| |
| |
| |
| Probability Plotting | |
| |
| |
| |
| Hazard Plotting | |
| |
| |
| |
| Cox-Snell Residual Method | |
| |
| |
| Bibliographical Remarks | |
| |
| |
| Exercises | |
| |
| |
| |
| Tests of Goodness of Fit and Distribution Selection | |
| |
| |
| |
| Goodness-of-Fit Test Statistics Based on Asymptotic Likelihood Inferences | |
| |
| |
| |
| Tests for Appropriateness of a Family of Distributions | |
| |
| |
| |
| Selection of a Distribution Using BIC or AIC Procedures | |
| |
| |
| |
| Tests for a Specific Distribution with Known Parameters | |
| |
| |
| |
| Hollander and Proschan's Test for Appropriateness of a Given Distribution with Known Parameters | |
| |
| |
| Bibliographical Remarks | |
| |
| |
| Exercises | |
| |
| |
| |
| Parametric Methods for Comparing Two Survival Distributions | |
| |
| |
| |
| Likelihood Ratio Test for Comparing Two Survival Distributions | |
| |
| |
| |
| Comparison of Two Exponential Distributions | |
| |
| |
| |
| Comparison of Two Weibull Distributions | |
| |
| |
| |
| Comparison of Two Gamma Distributions | |
| |
| |
| Bibliographical Remarks | |
| |
| |
| Exercises | |
| |
| |
| |
| Parametric Methods for Regression Model Fitting and Identification of Prognostic Factors | |
| |
| |
| |
| Preliminary Examination of Data | |
| |
| |
| |
| General Structure of Parametric Regression Models and Their Asymptotic Likelihood Inference | |
| |
| |
| |
| Exponential Regression Model | |
| |
| |
| |
| Weibull Regression Model | |
| |
| |
| |
| Lognormal Regression Model | |
| |
| |
| |
| Extended Generalized Gamma Regression Model | |
| |
| |
| |
| Log-Logistic Regression Model | |
| |
| |
| |
| Other Parametric Regression Models | |
| |
| |
| |
| Model Selection Methods | |
| |
| |
| Bibliographical Remarks | |
| |
| |
| Exercises | |
| |
| |
| |
| Identification of Prognostic Factors Related to Survival Time: Cox Proportional Hazards Model | |
| |
| |
| |
| Partial Likelihood Function for Survival Times | |
| |
| |
| |
| Identification of Significant Covariates | |
| |
| |
| |
| Estimation of the Survivorship Function with Covariates | |
| |
| |
| |
| Adequacy Assessment of the Proportional Hazards Model | |
| |
| |
| Bibliographical Remarks | |
| |
| |
| Exercises | |
| |
| |
| |
| Identification of Prognostic Factors Related to Survival Time: Nonproportional Hazards Models | |
| |
| |
| |
| Models with Time-Dependent Covariates | |
| |
| |
| |
| Stratified Proportional Hazards Models | |
| |
| |
| |
| Competing Risks Model | |
| |
| |
| |
| Recurrent Events Models | |
| |
| |
| |
| Models for Related Observations | |
| |
| |
| Bibliographical Remarks | |
| |
| |
| Exercises | |
| |
| |
| |
| Identification of Risk Factors Related to Dichotomous and Polychotomous Outcomes | |
| |
| |
| |
| Univariate Analysis | |
| |
| |
| |
| Logistic and Conditional Logistic Regression Models for Dichotomous Responses | |
| |
| |
| |
| Models for Polychotomous Outcomes | |
| |
| |
| Bibliographical Remarks | |
| |
| |
| Exercises | |
| |
| |
| |
| Newton-Raphson Method | |
| |
| |
| |
| Statistical Tables | |
| |
| |
| References | |
| |
| |
| Index | |